{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Basic Time Series Modelling "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from statsmodels.graphics.tsaplots import plot_acf\n",
    "from statsmodels.tsa.arima_process import ArmaProcess\n",
    "from statsmodels.tsa.stattools import acf\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Stationarity "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Autovariance function "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Simulate a purely random process\n",
    "# from a general distribution\n",
    "data = np.random.standard_normal(1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1000\n"
     ]
    }
   ],
   "source": [
    "print(len(data))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "D:\\Anaconda3\\lib\\site-packages\\statsmodels\\tsa\\stattools.py:541: FutureWarning: fft=True will become the default in a future version of statsmodels. To suppress this warning, explicitly set fft=False.\n",
      "  warnings.warn(msg, FutureWarning)\n"
     ]
    }
   ],
   "source": [
    "acf_coef = acf(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.00000000e+00, -1.32639041e-02, -4.32007412e-02, -4.65200913e-02,\n",
       "        1.49379786e-02,  1.83529154e-02, -6.79360476e-03,  2.90603023e-02,\n",
       "       -7.38826602e-03,  4.61844234e-02, -5.50830997e-02, -3.86270198e-02,\n",
       "       -3.45603522e-03, -1.56710965e-03, -8.89853163e-03,  1.88015950e-02,\n",
       "        2.06547863e-02, -6.04853188e-03,  2.24814307e-02,  8.47824043e-03,\n",
       "       -6.23456414e-03, -3.59997735e-03,  2.55825139e-02,  3.06679026e-02,\n",
       "        4.80678676e-03,  1.00004075e-02, -4.96283194e-02,  4.27363803e-02,\n",
       "       -2.82704582e-02, -2.58104897e-02, -4.67237626e-02, -6.81412344e-02,\n",
       "       -4.57738890e-02,  8.99346615e-03,  5.67613017e-02,  8.55988977e-04,\n",
       "       -1.11387169e-02,  2.07871594e-03, -2.06969659e-03, -3.73087278e-02,\n",
       "        4.64591296e-03])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "acf_coef"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(data, lags=20);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Randow walk "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "steps = np.random.standard_normal(1000)\n",
    "steps[0]=0\n",
    "random_walk = np.cumsum(steps)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.        , -0.08094701, -0.84987913, -0.54308846, -1.05218882,\n",
       "        0.38603571,  1.86293329,  0.07058655,  0.32561444,  0.76256924])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "random_walk[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x540 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[10, 7.5]); # Set dimensions for figure\n",
    "plt.plot(random_walk)\n",
    "plt.title(\"Simulated Random Walk\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "random_walk_acf_coef = acf(random_walk)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXwAAAEICAYAAABcVE8dAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAeHElEQVR4nO3dfbRddX3n8ffn3jwRQkBMeE4MVbRg1xjbu0DHqjjoFJwOdLrUQkeFDhit4oyt05aqgw6tHaZdjk5H6phWCqLy0OmDqc0MKpXR6QglKCqBQSIiCQlJgNzk5j6ch72/88fe5+bk5Nzch7Nzzzl3f15rZd2zn87vd0/u+vx++/fbex9FBGZmtvANdLsCZmY2Pxz4ZmYl4cA3MysJB76ZWUk48M3MSsKBb2ZWEg58s3ki6UlJb5zjsa+V9FjRdbJyceBbz5B0r6R9kpbO4piQ9JJjWa9uaP29IuJbEfGybtbJ+p8D33qCpHXAa4EALu1qZaYhadFM1pn1Gge+9Yp3AvcBtwBXNlbmvf5rmpavkvR/8tffzFd/T9JBSb+Sr3+XpG2Snpe0SdIZTce/XNLX8m27JX0oX79U0qck7cz/fapxpiHpQkk7JP2OpGeAP2+3Lt/3FyU9JGlY0v+V9E/a/bKSzpf07Xy/XZI+LWnJVL9Xo7ym48/NP5thSVslXdq07RZJN0n6O0kjku6X9OK5/bfYQuLAt17xTuCL+b9fkHTqdAdExOvyl6+IiBURcaekfwb8J+BtwOnAT4A7ACSdAHwd+F/AGcBLgHvy9/gw8CpgPfAK4HzgI03FnQacDLwI2NBunaSfBW4G3g28EPgssGmKIaoE+A1gFfBq4CLgvVP9Xs0HSloM/C3wVeAU4P3AFyU1D/lcAfxH4AXANuDjbT9EKxUHvnWdpJ8nC827IuJB4EfAr87x7f41cHNEfCciKsDvAq/Oh4x+EXgmIj4RERMRMRIR9zcdd0NE7ImIvWRh+Y6m902Bj0ZEJSLGp1j3LuCzEXF/RCQRcStQIWtIDhMRD0bEfRFRj4gnyRqH18/wd3wVsAK4MSKqEfH3wFfIQr7hryLiHyOiTtaIrp/he9sC5sC3XnAl8NWIeDZf/hJNwzqzdAZZrx6AiDgIPAecCawha0ymPS5/fUbT8t6ImGg5pnXdi4AP5sMsw5KG8zLPaDkOSS+V9BVJz0g6APwBWW9/Js4AtkdE2lLfM5uWn2l6PUbWQFjJeaLJukrScWTDL4P5WDjAUuAkSa8ARoHlTYecNs1b7iQL3sb7H082vPI0sJ3De8HtjtuaL6/N1zW0e6xs67rtwMcjYibDJ58BvgtcEREjkj4AvGUGxzXqukbSQFPorwV+OMPjraTcw7du+yWy8ezzyIYd1gPnAt8iG9d/CPhlScvzyxSvbjl+N/BTTctfAn5N0vp87PwPgPvzYZOvAKdJ+kA+SXuCpAvy424HPiJptaRVwPXAF2b5u/wp8B5JFyhzvKR/kc8dtDoBOAAclPTTwK9P83s1u5+sIfxtSYslXQj8S/K5CrOpOPCt264E/jwinoqIZxr/gE+Tjat/EqiSBeCtZOPRzT4G3JoPobwtIu4B/gPwl8Au4MXA5QARMQK8iSwcnwEeB96Qv8/vA1uA7wM/AL6Tr5uxiNhCNo7/aWAf2WTpVVPs/u/J5ilGyBqKO1u2H/Z7tZRTJbt09RLgWeBPgHdGxP+bTX2tfOQvQDEzKwf38M3MSsKBb2ZWEg58M7OScOCbmZVEz16Hv2rVqli3bl23q2Fm1lcefPDBZyNidbttPRv469atY8uWLd2uhplZX5H0k6m2eUjHzKwkHPhmZiXhwDczKwkHvplZSTjwzcxKopDAl3SzpD2SHp5iuyT9cf61c9/PvxnomEjS4J5Hd/PH9zzOPY/uJkn9rCAzMyjussxbyJ4Q+Pkptl8CnJP/u4DsWeAXTLHvnCVp8I7P3c9D24cZryYct2SQ9WtO4rarL2BwQEUXZ2bWVwrp4UfEN4Hnj7LLZcDnI3Mf2ZdbnF5E2c3ufWwPD20fZqyaEMBYNeGh7cPc+9ieGR3vswMzW8jm68arM8m+DahhR75uV/NOkjaQf0H02rVrZ13I1p0HGK8mh60bryY8svMAF5179O/E7uTsIEmDex/bw9adB3j5GSu58GWn+IzCzHrOfAV+u/Q7ovscERuBjQBDQ0Oz7l6//IyVHLdkkLGm0D9uySDnnbFy2mObzw7g8LODozUWHkYys34xX1fp7CD7MueGszj8+0ILceHLTmH9mpNQUoVIWZ6H74UvO2XaY492dnA0HkYys34xXz38TcC1ku4gm6zdHxG7pjlm1gYHxG1XX8Crf/lqqsefwic+8hszHl6Z69lBt4aRGsd7KMnMZqqQwJd0O3AhsErSDuCjwGKAiPjvwGbgzWTf8TkG/FoR5bYzOCCWDz/B8uEnpg3cZo2zg2//cBcxsIjlSxfP6OygG8NI4MbCzGavkMCPiCum2R7A+4oo61iZ69nBXBsK6OzsoJuNhZn1J99p26RxdnDS0/dx0bmnzij8Gg3F6sf/lpN2/AP/7YpXzjg4G2cHzWZ6djDXOQfwvINZWfXs8/D7yXwPI0FnQ0medzArJwd+F3UyydytxsJDSWb9y0M6XTaXYaTGcXMdSurG5avQ2VCSh5HMOucefh+b61BSNy5fhbkPJXkYyawYDvyS6qd5Bw8jmRXDQzo2K90YSvIVSWbFcA/fZm2+h5J8RZJZMRz4Nq/m0lj4iiSzYnhIx3pe2a5IAg8l2bHhHr71hbJckQQeSrJjx4FvC14/XZEEfqieHTsOfLMpdOtOaD9Uz44Vj+GbHUU37oTux4fqec6hP7iHb3aM9NtQku+EXvgc+GY9pt8equc5h/7hwDfrQd24KmmujYXnHPqHx/DNFpj5nnfoxzkHKOe8g3v4Zjapn+6E9r0Os+fAN7OO9NucA5R33qGQIR1JF0t6TNI2Sde12b5W0jckfVfS9yW9uYhyzaw3+It8Zn756js+dz/vv/27fPJrP+T9t3+Xd3zu/nkbTuo48CUNAjcBlwDnAVdIOq9lt48Ad0XEK4HLgT/ptFwzWxh8r8PM5x06VUQP/3xgW0Q8ERFV4A7gspZ9Amh8kicCOwso18xKbq6NRSdnB91qLIpQROCfCWxvWt6Rr2v2MeDtknYAm4H3F1CumdmcdGsoqZPGoghFBH67T6h1QOoK4JaIOAt4M3CbpCPKlrRB0hZJW/bu3VtA1czM2uu3eYciFBH4O4A1TctnceSQzdXAXQAR8W1gGbCq9Y0iYmNEDEXE0OrVqwuomplZ8brRWBShiMB/ADhH0tmSlpBNym5q2ecp4CIASeeSBb678GZWOnNtLIrQceBHRB24FrgbeJTsapytkm6QdGm+2weBd0n6HnA7cFVELPzb2szMekghN15FxGayydjmddc3vX4EeE0RZZmZ2dz4WTpmZiXhwDczKwkHvplZSTjwzcxKwoFvZlYSDnwzs5Jw4JuZlYQD38ysJBz4ZmYl4cA3MysJB76ZWUk48M3MSsKBb2ZWEg58M7OScOCbmZWEA9/MrCQc+GZmJeHANzMrCQe+mVlJOPDNzErCgW9mVhKFBL6kiyU9JmmbpOum2Odtkh6RtFXSl4oo18zMZm5Rp28gaRC4CXgTsAN4QNKmiHikaZ9zgN8FXhMR+ySd0mm5ZmY2O0X08M8HtkXEExFRBe4ALmvZ513ATRGxDyAi9hRQrpmZzUIRgX8msL1peUe+rtlLgZdK+gdJ90m6uN0bSdogaYukLXv37i2gamZm1lBE4KvNumhZXgScA1wIXAH8maSTjjgoYmNEDEXE0OrVqwuompmZNRQR+DuANU3LZwE72+zz5YioRcSPgcfIGgAzM5snRQT+A8A5ks6WtAS4HNjUss/fAG8AkLSKbIjniQLKNjOzGeo48COiDlwL3A08CtwVEVsl3SDp0ny3u4HnJD0CfAP4rYh4rtOyzcxs5jq+LBMgIjYDm1vWXd/0OoDfzP+ZmVkX+E5bM7OScOCbmZWEA9/MrCQc+GZmJeHANzMrCQe+mVlJOPDNzErCgW9mVhIOfDOzknDgm5mVhAPfzKwkHPhmZiXhwDczKwkHvplZSTjwzcxKwoFvZlYSDnwzs5Jw4JuZlYQD38ysJBz4ZmYlUUjgS7pY0mOStkm67ij7vUVSSBoqolwzM5u5jgNf0iBwE3AJcB5whaTz2ux3AvBvgfs7LdPMzGaviB7++cC2iHgiIqrAHcBlbfb7PeAPgYkCyjQzs1kqIvDPBLY3Le/I102S9EpgTUR85WhvJGmDpC2Stuzdu7eAqpmZWUMRga8262JyozQAfBL44HRvFBEbI2IoIoZWr15dQNXMzKyhiMDfAaxpWj4L2Nm0fALwM8C9kp4EXgVs8sStmdn8KiLwHwDOkXS2pCXA5cCmxsaI2B8RqyJiXUSsA+4DLo2ILQWUbWZmM9Rx4EdEHbgWuBt4FLgrIrZKukHSpZ2+v5mZFWNREW8SEZuBzS3rrp9i3wuLKNPMzGbHd9qamZVEIT18MzM7XJIGSRqkEdQbr9MgiaCWpETAjn1jpCkkESRpSpJmx/30aScwMNDuAsjOOPDNzNpI0iyY62mQJEEtTaknh9aNVxMCePjp/aRxKNwboX0049UEgO3Pj8/Db3KIA9/MFrw0PRTY9abwrtRTIoLHd49QS4J6mmY/k5RpMptakgIwMlGfh9+gGA58M+s79byXXUuy4A6Cp4fHqSfpZHDXk6Cab5+qx12pZT3tZw9W57P6XePAN7OuCyAiGJmoTfawa2lQq6eTve5a0r73PVbNethPPTfWncr3EQe+mRUuIg4NkdTznnb+upamWXg3XtdTRsZrADz89IEu13xhc+Cb2Yw0Qjzraactr1PGqglpBFuefJ56GsQ0Y+A2/xz4ZiXXGPeu5sFdrWeXDG7bc/CwQK8lRw/xej6JWUuc9L3KgW+2QEVk49vVepqHeTYmXs1DvRHirROaE/lE5t6RSjeqbceQA9+sz0z2yBvh3RTgjXUHJmoQ8L3t+7tdXeshDnyzHhERk+Hd+JdGsG3PCJX6oZCf7qae7M2OfX2t/zjwzeZBRHaTT2ugN5YreQ+9eYz80NBKOa4Rt2PPgW9WgCy0k8kQr9Syn6OVOmnAfU883+0qmjnwzabTuCloeKw62RuvNAd8ferb8Gc0/GI2Txz4VnpJGlTqCZXaoSCv1NN8OZm8KejRXSNdrqlZZxz4tuCl+VMM04Bn9k8cEei+btzKwoFvC0ItSZmoJUzkId78s1pPOZg/0fDHz452uaZm3ePAt74QcaiXvvvABBO1rJfe+Fl3L91sWg586ymNXnnWW89ej9cSKrVkspf+xF730s3mopDAl3Qx8F+BQeDPIuLGlu2/CVwD1IG9wL+JiJ8UUbb1nwhII9gzMkElD/RGuPuqFrNjp+PAlzQI3AS8CdgBPCBpU0Q80rTbd4GhiBiT9OvAHwK/0mnZ1tsq9YTxasJ4Lfs5Vs2CfWQiu+rlR3vcUzebT0X08M8HtkXEEwCS7gAuAyYDPyK+0bT/fcDbCyjXekDjDtKxpmBvhLx762a9pYjAPxPY3rS8A7jgKPtfDfzPdhskbQA2AKxdu7aAqlmRJvJAH63WGa8mJBH844+fn/a7P82sNxQR+Gqzrm0ESHo7MAS8vt32iNgIbAQYGhpyjHRJksZkqI9VE0YrdcZryWFXwjS+wNlhb9Y/igj8HcCapuWzgJ2tO0l6I/Bh4PUR4Qdt94g0gucOVhhrhHu1TqWWdrtaZnYMFBH4DwDnSDobeBq4HPjV5h0kvRL4LHBxROwpoEybg4lawsFKndFKnYOVOiMTdSKCH+4+2O2qmdk86DjwI6Iu6VrgbrLLMm+OiK2SbgC2RMQm4I+AFcBfSAJ4KiIu7bRsm9pELRuKGa3kIV+tH3FzUvhLR81KpZDr8CNiM7C5Zd31Ta/fWEQ51l4awfOj1cme+2il7ufDmNkRfKdtHxqrZsMxIxM1DlbqpGnw2DN+kqOZHZ0Dv8dFBKPVhAPjtcmQb+69p75MxsxmyIHfY9I0GKlkwX5gPBui8Q1MZlYEB36XRQT1NEiS4OGn909+JZ6ZWdEc+F1QS1KGx2oMj1UZHq8xVsmeAjmSPw3SzOxYcODPk/Fqwr6xKs+PVjlYqeMrIs1svjnwj5GI4MB4nX1jVfaNVZnw3atm1mUO/AJFwJ6RCYbHauwfr/lbmMyspzjwOzRayXrxo5U6SYSf8W5mPcuBP0tJGuwfr7FvrMrwWI1qPZ1cb2bWyxz4MzBRSxgey0L+wHjNl02aWV9y4E9h/3h22eS+sRrj1aTb1TEz65gDP1etpwyPVxmvJtTT4JGdB7pdJTOzQpU68A9W6tnNT2O1yWvjG9/kZGa20JQy8J98dpTnRitU6x6MN7PyGOh2BbrBYW9mZVTKwDczKyMHvplZSTjwzcxKwoFvZlYShQS+pIslPSZpm6Tr2mxfKunOfPv9ktYVUa6Zmc1cx4EvaRC4CbgEOA+4QtJ5LbtdDeyLiJcAnwT+c6flmpnZ7BTRwz8f2BYRT0REFbgDuKxln8uAW/PX/wO4SJIKKNvMzGZI0eFXL0l6C3BxRFyTL78DuCAirm3a5+F8nx358o/yfZ6d6n1PftG58aYP3TynOj30vYcAWP+K9W23H6zUSaf4vR9/5GEAzjnvZ2ZV5lyP87G9XaaP7e0yF+qxK5ctnvV7Ntz1nn/6YEQMtdtWROC/FfiFlsA/PyLe37TP1nyf5sA/PyKea3mvDcAGgBWnv/jn3vzR2zqq21SOFvhmZt12rAK/iEcr7ADWNC2fBeycYp8dkhYBJwLPt75RRGwENgIMDQ3Fne9+dQHVO9KDP3ned9qaWc+64OyTGRiY26j3Xe+ZelsRY/gPAOdIOlvSEuByYFPLPpuAK/PXbwH+Pjo9tTAzs1npuIcfEXVJ1wJ3A4PAzRGxVdINwJaI2AR8DrhN0jaynv3lnZZrZmazU8jTMiNiM7C5Zd31Ta8ngLcWUZaZmc2N77Q1MysJB76ZWUk48M3MSqKUgb98ySJ8n6+ZlU0pv+Lw3NNXUktShsdq2XfajteoJ75K1MwWtlIGPsDiwQFWn7CU1ScsJSIYqdQZHq2xb6zKWDXpdvXMzApX2sBvJomVyxazctli1r5wORO1hP3jWfjvH6uRuvNvZguAA7+NZYsHWbZ4kFNXLiNNg/3jNYbzBqBSS7tdPTOzOXHgT2NgQLzg+CW84PglnM3xjFXr7BursW+0ysFKHT8gwsz6hQN/lpYvWcTyJYs486TjqCcpw+P5xO9YjZonfs2shznwO7BocIBVK5ayaoUnfs2s9znwC9Ju4nd4LAv/A+Oe+DWz7nPgHyPLFg9y2omDnHbiMpJ84nffWJXhsaqfxW9mXeHAnweDA+Lk45dw8vFLABiZqE32/kcrHvoxs/nhwO+CE5Yt5oRli1lz8nIq9SS/47fGyIQnfs3s2HHgd9nSRYOcujK75h9grFpnZKLOyESN/eN1qnVf929mxXDg95jGZZ+NBmCiljAyUefARI2RiTrjvvrHzObIgd/jGnf9rj5hKQDVespIHv4jE3VGq775y8xmxoHfZ5YsGuCFK5bywhVZA5CkwcGJOgerdUYrdQ5W6n78g5m15cDvc4MD4sTlizlx+eLJdbUknQz/0UrCwYrnAszMgb8gLR4c4KTlSzhp+ZLJdZV6wmglaWoI6r4iyKxkOgp8SScDdwLrgCeBt0XEvpZ91gOfAVYCCfDxiLizk3Jt9pYuGmTposHJewEgmxAeqyaMVev5z4SJWuI5AbMFqtMe/nXAPRFxo6Tr8uXfadlnDHhnRDwu6QzgQUl3R8Rwh2VbhxoTws2NQJoGY7WEsUrWCIxWsyuDfDZg1v86DfzLgAvz17cC99IS+BHxw6bXOyXtAVYDDvweNDAgVixdxIqlh/9pVOoJ49WE0WrCeDWbG5ioJX5GkFkf6TTwT42IXQARsUvSKUfbWdL5wBLgR1Ns3wBsAFi7dm2HVbMiNYaETlp+aF1EUKmnjFUTxmtZgzCev07cEpj1nGkDX9LXgdPabPrwbAqSdDpwG3BlRLS9ZCQiNgIbAYaGhpwYPU7S5LBQq0o9YaKaMlarTzYCHhoy665pAz8i3jjVNkm7JZ2e9+5PB/ZMsd9K4O+Aj0TEfXOurfWNxhnBiSw+bH0tSRmvJUxUEyZqKRP5UJGHh8yOvU6HdDYBVwI35j+/3LqDpCXAXwOfj4i/6LA863OLBwdYPDjAymWLj9jWOCuYbATqeaPgK4fMCtFp4N8I3CXpauAp4K0AkoaA90TENcDbgNcBL5R0VX7cVRHxUIdl2wIz1VlBY65gopYNDVXyM4OJWkrFZwZmM9ZR4EfEc8BFbdZvAa7JX38B+EIn5Vi5Nc8VnNRme6WeTDYIlVqanSnkZwaeMzA7xHfaWt9rnBm0GyZK0sgagkaDUM8ahKxhSH01kZWKA98WtMEBcfzSRRy/tP32WpIFf2WyMXCDYAuXA99KrTGJ3HqjWUOjQajmDUG13rrsBsH6hwPf7CgaDQJTnCGkaVBNDp0ZNDcIjdc+S7Be4cA368DAgFg20Lj57Mg5BIB6klJNDm8EmperSUrdk8s2Dxz4ZsfYosEBFg0O0PS06iMkaRxqEJLksMagVg+qSXbFke9HsE448M16wOCAOG7JIMctmfpMISImzwxqSRzWKGTrfLZgR+fAN+sTkiYvQT2aJI3J8K8ddpaQNwp54+B7FMrHgW+2wAwOiMGB9g+1a9Z6xtDaGDQ3Gp53Xhgc+GYlNdMzBsgmnmvJobOEWj50NLncdAbheYbe5cA3s2llE89wHNM3Ds2NQb3pbKHW5rUvWZ1fDnwzK1R278LMGofGfQz1NKjVU2pp1hA0NxT1JLL1HlrqmAPfzLqmcR8DMOXNbc0aE9KTDUGSUksPNRD1tPnswmcQrRz4ZtY3Zjoh3ZCm2dlBPYnJM4VGQ1FvajyyhiRrOBZyG+HAN7MFa2BALB0YZIpHJbXVOIuotzlzaF2XpDH5rx8aCge+mVmTxlnEbEXk4R9BmkIS0dIgHPk6jawRSdLDjzlWHPhmZgWQxKJB9XSoDnS7AmZmNj8c+GZmJeHANzMriY4CX9LJkr4m6fH85wuOsu9KSU9L+nQnZZqZ2dx02sO/DrgnIs4B7smXp/J7wP/usDwzM5ujTgP/MuDW/PWtwC+120nSzwGnAl/tsDwzM5ujTgP/1IjYBZD/PKV1B0kDwCeA35ruzSRtkLRF0pa9e/d2WDUzM2s27SWjkr4OnNZm04dnWMZ7gc0RsV3SUXeMiI3ARoChoaE+uG/NzKx/TBv4EfHGqbZJ2i3p9IjYJel0YE+b3V4NvFbSe4EVwBJJByPiaOP9ZmZWMEUH31Yg6Y+A5yLiRknXASdHxG8fZf+rgKGIuHYG770X+MmcKwergGc7OL4s/DnNjD+nmfHnNHPH6rN6UUSsbreh07uAbwTuknQ18BTwVgBJQ8B7IuKaub7xVBWeKUlbImKok/coA39OM+PPaWb8Oc1cNz6rjgI/Ip4DLmqzfgtwRNhHxC3ALZ2UaWZmc+M7bc3MSmIhB/7GblegT/hzmhl/TjPjz2nm5v2z6mjS1szM+sdC7uGbmVkTB76ZWUksuMCXdLGkxyRty+8NsClIelLSDyQ9JGlLt+vTKyTdLGmPpIeb1s34ybBlMcXn9LH8qbgP5f/e3M069gJJayR9Q9KjkrZK+nf5+nn/m1pQgS9pELgJuAQ4D7hC0nndrVXPe0NErPe104e5Bbi4Zd1sngxbFrdw5OcE8Mn8b2p9RGye5zr1ojrwwYg4F3gV8L48l+b9b2pBBT5wPrAtIp6IiCpwB9kTPc1mLCK+CTzfsnpGT4Ytkyk+J2sREbsi4jv56xHgUeBMuvA3tdAC/0xge9PyjnydtRfAVyU9KGlDtyvT46Z9MqxNulbS9/Mhn9IPfTWTtA54JXA/XfibWmiB3+5xnL7udGqviYifJRsCe5+k13W7Qtb3PgO8GFgP7CJ7NLoBklYAfwl8ICIOdKMOCy3wdwBrmpbPAnZ2qS49LyJ25j/3AH9NNiRm7e3OnwjLUZ4MW3oRsTsikohIgT/Ff1MASFpMFvZfjIi/ylfP+9/UQgv8B4BzJJ0taQlwObCpy3XqSZKOl3RC4zXwz4GHj35UqW0CrsxfXwl8uYt16VmNAMv9K/w3hbIvAvkc8GhE/JemTfP+N7Xg7rTNLwP7FDAI3BwRH+9ylXqSpJ8i69VD9hC9L/mzyki6HbiQ7PG1u4GPAn8D3AWsJX8ybESUesJyis/pQrLhnACeBN7dGKcuK0k/D3wL+AGQ5qs/RDaOP69/Uwsu8M3MrL2FNqRjZmZTcOCbmZWEA9/MrCQc+GZmJeHANzMrCQe+mVlJOPDNzEri/wNWotcUqA9hgQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(random_walk, lags=20);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "random_walk_diff = np.diff(random_walk, n=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x540 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=[10, 7.5]); # Set dimensions for figure\n",
    "plt.plot(random_walk_diff)\n",
    "plt.title('Noise')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_acf(random_walk_diff, lags=20);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Moving average "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x540 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ar2 = np.array([2])\n",
    "ma2 = np.array([1, 0.9, 0.3])\n",
    "\n",
    "MA2_process = ArmaProcess(ar2, ma2).generate_sample(nsample=1000)\n",
    "\n",
    "plt.figure(figsize=[10, 7.5]); # Set dimensions for figure\n",
    "plt.plot(MA2_process)\n",
    "plt.title('Moving Average Process of Order 2')\n",
    "plt.show()\n",
    "\n",
    "plot_acf(MA2_process, lags=20);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
